The Norm Residue Theorem in Motivic Cohomology: (AMS-200) (Annals of Mathematics Studies, 200)
ISBN-13:
9780691191041
ISBN-10:
0691191042
Author:
Charles A. Weibel, Christian Haesemeyer
Publication date:
2019
Publisher:
Princeton University Press
Format:
Paperback
320 pages
Category:
Geometry & Topology
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780691191041
ISBN-10:
0691191042
Author:
Charles A. Weibel, Christian Haesemeyer
Publication date:
2019
Publisher:
Princeton University Press
Format:
Paperback
320 pages
Category:
Geometry & Topology
,
Mathematics
Summary
The Norm Residue Theorem in Motivic Cohomology: (AMS-200) (Annals of Mathematics Studies, 200) (ISBN-13: 9780691191041 and ISBN-10: 0691191042), written by authors
Charles A. Weibel, Christian Haesemeyer, was published by Princeton University Press in 2019.
With an overall rating of 3.7 stars, it's a notable title among other
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Description
This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.
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